823484328 has 32 divisors (see below), whose sum is σ = 2061689760. Its totient is φ = 274097600.

The previous prime is 823484287. The next prime is 823484329.

823484328 is nontrivially palindromic in base 10.

823484328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×823484328² = 1356252876923223168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 823484328.

It is not an unprimeable number, because it can be changed into a prime (823484329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7650 + ... + 41297.

It is an arithmetic number, because the mean of its divisors is an integer number (64427805).

Almost surely, 2^823484328 is an apocalyptic number.

It is an amenable number.

823484328 is an abundant number, since it is smaller than the sum of its proper divisors (1238205432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823484328 is a wasteful number, since it uses less digits than its factorization.

823484328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49657 (or 49653 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 823484328 is about 28696.4166404100. The cubic root of 823484328 is about 937.3140193566.

The spelling of 823484328 in words is "eight hundred twenty-three million, four hundred eighty-four thousand, three hundred twenty-eight".